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Finding the Fourth Proportional to 130,080, 179,510.44 and 70,464

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Solution

The fourth proportional to 130,080, 179,510.44 and 70,464 is: 97,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,080 : 179,510.44 = 70,464 : x
  2. Step 2: Convert to fraction form
    130,080/179,510.44 = 70,464/x
  3. Step 3: Cross multiply
    130,080x = 179,510.44 × 70,464
  4. Step 4: Simplify right side
    130,080x = 12,649,023,644.16
  5. Step 5: Solve for x
    x = 12,649,023,644.16/130,080
  6. Step 6: Final answer
    x = 97,240.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.